A rigid container of negligible heat capacity contains one mole of an ideal gas. The temperatures of the gas increases by `1^@C` if `3.0` cal of heat is added to it. The gas may be

Options

A. (i),(ii)
B. (ii),(iii)
C. (iii),(iv)
D. (i),(iv)

Answer

A

Explanation

Rigid container i.e., volume is constant
`n=1`,`DeltaQ=3cal`,`DeltaT=1^@C`
`(DeltaQ)_V=nC_VDeltaT`
`3=1xxC_Vxx1`
`C_V=3(cal)/(mol e^@C)`
`C_P=C_V+R=3+2=5(cal)/(mol e^@C)`
`gamma=(C_P)/(C_V)=(5)/(3)`, i.e., monoatomic gas.