A sample of oxygen gas and a sample of hydrog | 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 $n = \frac{m}{M}$.For oxygen $(O_2)$: $PV = \frac{m}{M_{O_2}} RT_{O_2}$  --- $(i)$For hydrogen

Vedclass · Accepted Answer

$16: 1$

Vedclass · Answer

(C) The ideal gas equation is given by $PV = nRT$,where $n = \frac{m}{M}$.For oxygen $(O_2)$: $PV = \frac{m}{M_{O_2}} RT_{O_2}$  --- $(i)$For hydrogen $(H_2)$: $PV = \frac{m}{M_{H_2}} RT_{H_2}$  --- $(ii)$Since $P$,$V$,and $m$ are the same for both gases,we equate the two expressions:$\frac{m}{M_{O_2}} RT_{O_2} = \frac{m}{M_{H_2}} RT_{H_2}$$\frac{T_{O_2}}{M_{O_2}} = \frac{T_{H_2}}{M_{H_2}}$$\frac{T_{O_2}}{T_{H_2}} = \frac{M_{O_2}}{M_{H_2}}$Given $M_{O_2} = 32$ and $M_{H_2} = 2$:$\frac{T_{O_2}}{T_{H_2}} = \frac{32}{2} = \frac{16}{1}$Therefore,the ratio of their absolute temperatures is $16: 1$.

$A$ sample of oxygen gas and a sample of hydrogen gas both have the same mass,same volume,and the same pressure. The ratio of their absolute temperatures is (Molecular weights of $O_2$ and $H_2$ are $32$ and $2$ respectively).

Similar Questions

For three low density gases $A, B, C$,pressure versus temperature graphs are plotted while keeping them at constant volume,as shown in the figure. The temperature corresponding to the point '$K$' is $...........\,{}^{\circ}\,C$.

$A$ vessel that can withstand a pressure of $100 \,atm$ is filled with hydrogen at $27^{\circ} C$ up to a pressure of $20 \,atm$. If the vessel is heated, then the temperature at which it explodes is (in $\,K$)

Two identical glass bulbs are connected by a thin glass tube. The system is filled with gas at $0^{\circ}C$. If one bulb is placed in ice and the other in hot water,the pressure of the gas becomes $1.5$ times the initial pressure. What is the temperature of the hot water in $^{\circ}C$?

What is the number of oxygen molecules in a cylinder of volume $1 \ m^3$ at $27^{\circ}C$ and $13.8 \ Pa$? (Boltzmann constant $k = 1.38 \times 10^{-23} \ JK^{-1}$)

State and explain Dalton's law of partial pressure.

Vedclass Test Series

Exam Paper Generator

Online Exam Module