Question

a fixed mass of a n ideal gas is heated from 50 to 80C at a constant pressure at 1 atm and again at a constant pressure of 3 atm. for which case do u think the energy required will be greater

Answer 1

Answer:

The energy required is same for both cases since specific heat capacity (Cp) does not vary with pressure.

Explanation:

Given;

initial temperature, t₁ = 50 °C

final temperature, t₂ = 80 °C

Change in temperature, ΔT =80 °C - 50 °C = 30 °C

Pressure for case 1 = 1 atm

Pressure for case 2 = 3 atm

Energy required in both cases is given;

$Q = M*C_p*\delta T$

where;

Cp is specific heat capacity, which varies only with temperature and not with pressure.

Therefore, the energy required is same for both cases since specific heat capacity (Cp) does not vary with pressure.