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At $100 K$ and $0.1$ atmospheric pressure, the volume of helium gas is $10$ litres. If volume and pressure are doubled, its temperature will change to

Last updated date: 19th Jul 2024
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Hint: The conductor is described as the material which enables the electric current or heat to transfer through it. The electrons inside a conductor are freely passed from atom to atom when the potential difference is implemented across them. The materials which do not provide the electric current or heat to move through it such kind of material is called an insulator. The covalent bond between the insulator atoms is powerful. Thus, the charges do not flow freely. The resistivity of the insulator is very large.

Complete step-by-step solution:
The equation of gas is:
$PV = nRT$
Where, P is the pressure of the gas.
V is the volume of the gas.
T is the temperature of the gas.
R is the universal gas constant.
n is the number of moles.
N, R are constants.
$PV \propto T$
$\implies \dfrac{PV}{T} = constant$
$\implies \dfrac{P_{1}V_{1}}{T_{1}} = \dfrac{P_{2}V_{2}}{T_{2}}$
If volume and pressure are doubled; $ P_{1} = 2 P_{2}$, $V_{2} = 2 V_{1}$ and $ T_{1} = 100K$
$ \dfrac{P_{1}V_{1}}{100 } = \dfrac{2P_{1} \times 2V_{1}}{T_{2}}$
$\implies T_{2}= 4\times 100$
$\implies T_{2}= 400 K$
Hence, Temperature will change to $400 K$.

Note:If two gases have an equal volume, they must contain the exact molecular quantities. The combined gas law formula declares that with a constant amount of gas, the gas pressure multiplied by its volume and divided by its temperature is also consistent.