An experiment traps exactly molecules of an ideal gas in a vessel at

PHYSICS · Subjective · CBSE · Physics · Thermal Properties of Matter · Thermal Properties of Matter

Problem

An experiment traps exactly

N=6.10\times10^{22}

molecules of an ideal gas in a

2.50\,\text{L}

vessel at

T=295\,\text{K}

. The pressure is

1.05\times10^{5}\,\text{Pa}

. Using

N_{\!A}=6.022\times10^{23}\,\text{mol}^{-1}

and

k_{B}=1.38\times10^{-23}\,\text{J}\,\text{K}^{-1}

, calculate the value of

R

obtained from this trial, in

\text{J}\,(\text{mol}\cdot\text{K})