1. Tardigrade
  2. Question
  3. Chemistry
  4. For one mole of an ideal gas, which of these statements must be true ? (a) U and H each depends only on temperature (b) Compressibility factor z is not equal to 1 (c) C P , m - C V , m = R (d) dU = C V dT for any process

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Q. For one mole of an ideal gas, which of these statements must be true ?

(a) $U$ and $H$ each depends only on temperature

(b) Compressibility factor $z$ is not equal to 1

(c) $C _{ P , m }- C _{ V , m }= R$

(d) $dU = C _{ V } dT$ for any process

JEE MainJEE Main 2020Thermodynamics

Solution:

For ideal Gas

$\# U = f ( T ), H = f ( T )$

$\# Z=1$

$\# C_{P}-C_{V}=R$

$\# dU = C _{ V } dT$