What is the volume of $n$ moles of gas? Derive the formula for the combined gas law.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) Volume of $n$ moles of gas: According to the ideal gas equation,$pV = nRT$.
Therefore,$V = \frac{nRT}{p}$.
If the temperature $(T)$,pressure $(p)$,and amount of gas $(n)$ are held constant,the volume $(V)$ is determined by these parameters.
Combined Gas Law:
Starting from the ideal gas equation: $pV = nRT$.
Rearranging the terms,we get: $\frac{pV}{T} = nR$.
Since $n$ (number of moles) and $R$ (universal gas constant) are constants for a fixed amount of gas,we can write: $\frac{pV}{T} = \text{constant}$.
If the state of a fixed amount of gas changes from $(p_1, V_1, T_1)$ to $(p_2, V_2, T_2)$,then:
$\frac{p_1 V_1}{T_1} = \frac{p_2 V_2}{T_2}$.
This equation is known as the combined gas law.

Explore More

Similar Questions

$A$ vessel of $120 \, mL$ capacity contains a certain amount of gas at $35^{\circ} C$ and $1.2 \, bar$ pressure. The gas is transferred to another vessel of volume $180 \, mL$ at $35^{\circ} C$. What would be its pressure?

Which relation represents the change in density of an ideal gas with changes in temperature and pressure?

Air entering the lungs ends up in tiny sacs called alveoli. It is from the alveoli that oxygen diffuses into the blood. The average radius of the alveoli is $0.0050 \ cm$ and the air inside contains $14$ per cent oxygen. Assuming that the pressure in the alveoli is $1.0 \ atm$ and the temperature is $37 \ ^oC$,calculate the number of oxygen molecules in one of the alveoli.

Difficult
View Solution

The density of nitrogen monoxide $(NO)$ at $S.T.P.$ is ......... $g \ L^{-1}$.

Use of hot air balloons in sports and meteorological observations is an application of

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo