Ahouse has well insulated walls. it contains a volume of
100m^3 of air at 300 k. calculate the energy required to incrrease
thetemperature of the diatomic ideal gas by 1 degree c.

The energy required to increase  the temperature of the diatomic ideal gas by 1 degree C is 118.18 kJ.

Explanation:

Given that,

Volume = 100 m³

Temperature = 300 K

Suppose Consider heating it at constant pressure.

We need to calculate the energy required to increase  the temperature of the diatomic ideal gas by 1 degree C

Using formula of heat energy

Where, n = numbers of moles of gas

=specific heat capacity

= change in temperature

We know that,

The specific heat capacity for diatomic ideal gas

Put the value into the formula of heat

Substitute the value of nR into the formula

Here, P = pressure of the air

V = volume  of the air

Put the value into the formula

Hence, The energy required to increase  the temperature of the diatomic ideal gas by 1 degree C is 118.18 kJ.

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