# 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.

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 %

#### Solution:

$p = 100 \% \cdot (1-\dfrac{ 0.0425}{ 0.46}) = 90.8 \%$
$1 kWh = \dfrac{1000 \cdot 3600}{1000000} = 3.6 \ \text{MJ}$
$Q_1 = \dfrac{3.91\cdot 10^7}{10^6} = 39.1 \ \text{MJ}$
$Q_2 = \dfrac{3.91 \cdot 10^7}{10^6 \cdot 3.6} = 10.9 \ \text{kWh}$
$p_2 = 100 \% \cdot \dfrac{ 0.46 - 0.0425 Q_2}{ 0.46} \doteq 0 \%$

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