Engineer Kažimír

The difference between politicians-demagogues and reasonable person with at least primary education beautifully illustrated by the TV show example.

"Engineer" Kažimír says that during their tenure there was a large decline in the price of natural gas, price went from 0.46 €/m3 to € 0.0425/kWh. Calculate:

  1. how many percent the price of gas has fallen theoretically, if we do not consider the unit in which the price shown.
  2. Transform unit 1 kWh of energy to MJ
  3. If you are considering a calorific value of natural gas was 3.91×107 J/m3, calculate how much MJ is released by burning one cubic meter of gas
  4. What is the conversion factor combustion heat of natural gas to kWh?
  5. Calculate how many percent dropped the price of gas when to consider the calorific value gas.

Mr. engineer Kažimír does not have a bit of common sense when comparing gas prices in €/kWh to the price quoted €/m3.

Prove fact that 1 cubic meter is 46 cents a kilowatthour and costs 4.25 cents, so it is the same price.

Correct result:

Gas prices fell numerically by:  90.8 %
1 kWh =  3.6 MJ
combustion of m3 of gas gives heat:  39.1 MJ
combustion of m3 of gas gives heat:  10.9 kWh
Gas prices fell by:  0 %


p=100%(10.04250.46)=90.8%p = 100 \% \cdot (1-\dfrac{ 0.0425}{ 0.46}) = 90.8 \%
1kWh=100036001000000=3.6 MJ1 kWh = \dfrac{1000 \cdot 3600}{1000000} = 3.6 \ \text{MJ}
Q1=3.91107106=39.1 MJQ_1 = \dfrac{3.91\cdot 10^7}{10^6} = 39.1 \ \text{MJ}
Q2=3.911071063.6=10.9 kWhQ_2 = \dfrac{3.91 \cdot 10^7}{10^6 \cdot 3.6} = 10.9 \ \text{kWh}
p2=100%0.460.0425Q20.460%p_2 = 100 \% \cdot \dfrac{ 0.46 - 0.0425 Q_2}{ 0.46} \doteq 0 \%

We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!

Showing 0 comments:

Tips to related online calculators
Need help calculate sum, simplify or multiply fractions? Try our fraction calculator.
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Check out our ratio calculator.
Do you know the volume and unit volume, and want to convert volume units?

Next similar math problems:

  • Cubic
    natural_gas Convert 660 m3 of natural gas volume to energy units kWh. Combustion of 1 cubic meter of natural gas is released energy 10.55 kWh.
  • Natural gas in kWh
    plynomer Gas consumption for 2017 was 11,301 kWh I paid 532 € How much 1 m3?
  • Rates
    gas_meter When gas consumption, the consumer may choose one of two rates: rate A - which pays 0.4 € per 1 m3 of gas a flat monthly fee of 3.9 € (regardless of consumption) rate B - which pays 0.359 € per 1 m3 of gas a flat monthly fee of 12.5 € From what monthly
  • Used cars
    renault Peter plans to buy a used car: the first car Renault Espace 2.0 dCi 16V Dynamique 2006, costs 2000 euros. It is 14 years old and has a combined diesel consumption of 8 liters. / 100 km. Diesel costs 1.1 euros/liter. How much will the car cost him to opera
  • Discount and prices
    sale After a 29% discount, the new product price was € 426. What was the original price of the product?
  • Fixed expenses 2013
    istoty_komunisti Since 2013, the Slovak government plans to tax more small one person businesses. Instead of fixed expences 40% will be fixed expences 40% of gross income up to 420 Eur. Calculate what percentage of fixed expences will in 2013 pays from gross income 1569 E
  • Sale off
    sale The TV went down 10% and then 10% off the original price again. Now it costs 300 €. What was its original price?
  • Prices prices
    textiles The meter of the textille was reduced by CZK 42, so 4 meters of the new price was 20 CZK cheaper than 3 meters of the original price. What was the original and new price of the textille?
  • Scale
    pool_1 The swimming pool is long 110 m and 30 m wide. The plan of the city is shown as a rectangle with an area 8.25 cm2. What scale is the city plan?
  • Sisters
    cycle Sisters Zuzka Lenka and Vierka has save for a new bike. Zuzka save € 90, Lenka save € 90 and Vierka save € 82. Missing 30% gave them their mother. What is the price of the bike?
  • Alcohol
    metaxa How many cubic centimeters of 96% alcohol is needed to obtain 0.75 liter of 40% alcohol?
  • Cost reduction
    mp3_1 Two MP3 players whose price was equal to originally have been discounted the first by 20%, the second by 35%. After the price reduction was the difference in their prices 750, - CZK. What was the original price of each of the two players?
  • Four poplars
    topolcany_1 Four poplars are growing along the way. The distances between them are 35 m, 14 m, and 91 m. At least how many poplars need to be dropped to create the same spacing between the trees? How many meters will it be?
  • Sprinter
    Sprinter Sprinter runs the relay 4 x 400 m to the handover at speed 42 km/h. A second runner is at the start of the handover area 20 m long and runs when it is the first sprinter at distance 10 m. Calculate the speed at which the second runner must run in order to
  • Car range
    Lupo_3L_TDI.JPG Calculate the maximum range of car, if you can spend 10 euros, price of diesel is 1.55 Eur/l and car consumption is 3 l/100 km.
  • Parcel 4
    usd_3 To send a parcel by messenger within city limits costs 60 cents for the first pound and 48 cents for each additional pound. What is the cost, in cents, of sending a parcel weighing p=4 pounds?
  • Trio ratio
    minca Hans, Alena and Thomas have a total of 740 USD. Hans and Alena split in the ratio 5: 6 and Alena and Thomas in the ratio 4: 5. How much will everyone get?