Answer to Question #206656 in Molecular Physics | Thermodynamics for Yomna

Question

A rigid cylinder containing 0.01 m3 of carbon dioxide at 1 bar and 300 K 

is heated until temperature becomes 400 K. Determine: The heat 

supplied.

Answer 1

Gives

Volume (V)=0.01$m^3$

Pressure (P)=1bar=100Kpascal

∆T=(T₂-T₁)=400-300=100K

R=4.1240Kpa m³/Kg-K

$c_v=37.35KJ/kg-K$

$m=\frac{P_1V}{RT_1}$

Put value

$$m=\frac{100kpa \times 10^{-2}m^2}{4.12 \frac{kpa m^3}{kg-K }\times300 K}=8.09\times10^{-4} kg$$

heat transfer

$Q=mc_v∆T$

$$Q=8.09\times10^{-4} \times37.35\times100=3.02J$$