S.I. unit of universal gas constant is | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The ideal gas equation is given by $PV = nRT$,where $P$ is pressure,$V$ is volume,$n$ is the number of moles,$R$ is the universal gas constant,and

Vedclass · Accepted Answer

$J\,mol^{-1}\,K^{-1}$

Vedclass · Answer

(C) The ideal gas equation is given by $PV = nRT$,where $P$ is pressure,$V$ is volume,$n$ is the number of moles,$R$ is the universal gas constant,and $T$ is the absolute temperature.Rearranging the formula for $R$,we get $R = \frac{PV}{nT}$.The $S.I.$ unit of pressure $P$ is Pascal ($Pa$ or $N/m^2$),volume $V$ is $m^3$,$n$ is $mol$,and temperature $T$ is $K$.Substituting these units: $R = \frac{(N/m^2) \cdot m^3}{mol \cdot K} = \frac{N \cdot m}{mol \cdot K} = \frac{J}{mol \cdot K}$.Therefore,the $S.I.$ unit of the universal gas constant is $J\,mol^{-1}\,K^{-1}$.

$S.I.$ unit of universal gas constant is

Similar Questions

$A$ gas is contained in a closed vessel. The initial temperature of the gas is $100^{\circ} C$. If the pressure of the gas is increased by $4 \%$,what is the increase in the temperature of the gas (in $^{\circ} C$)?

One mole of an ideal gas undergoes a process $P = \frac{2V^2}{1+V^2} \, Pa$. The change in temperature of the gas when the volume changes from $V = 1 \, m^3$ to $V = 2 \, m^3$ is:

The equation of state for $5 \, g$ of oxygen at a pressure $P$ and temperature $T$,when occupying a volume $V$,will be (where $R$ is the gas constant).

$A$ bicycle tyre is filled with air having pressure of $270\,kPa$ at $27^{\circ}C$. The approximate pressure of the air in the tyre when the temperature increases to $36^{\circ}C$ is $............kPa$.

The following graph represents the $T-V$ curves of an ideal gas (where $T$ is the temperature and $V$ is the volume) at three pressures $P_1, P_2$ and $P_3$ compared with those of Charles's law represented as dotted lines. Then the correct relation is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module