Question

A rigid container of negligible heat capacity contains one mole of an ideal gas. The temperature of the gas increase by $1^{o}C$ if $3\cdot 0cal$ of heat is added to it. The gas may be

• A. helium
• B. argon
• C. oxygen
• D. carbon dioxide

Answer 1

Answer: (A), (B)

The correct options are
A argon
B helium

Option A and B are correct.

Given,

n=1, dT=$1^{o}C$ , dQ=3cal=12.54joule

We know that,

$dQ=n{C}_{v}dT$

$12.54=1\times C_v\times 1$

$C_v=12.54$

We also know $C_v=\frac{3}{2}R$

$C_v=1.5\times 8.314$ (R=8.314)

$C_v=12.54$

Since both have equal values gas is monoatomic,

Since Helium and argon are monoatomic gases.

Option A and B are correct.