Solveeit Logo

Question

Question: The temperature of an ideal gas at atmospheric pressure is 300K and volume 1m<sup>3</sup>. If temper...

The temperature of an ideal gas at atmospheric pressure is 300K and volume 1m3. If temperature and volume become double, then pressure will be

A

105N/m210^{5}N/m^{2}

B

2×105N/m22 \times 10^{5}N/m^{2}

C

0.5×105N/m20.5 \times 10^{5}N/m^{2}

D

4×105N/m24 \times 10^{5}N/m^{2}

Answer

105N/m210^{5}N/m^{2}

Explanation

Solution

PV=μRTPV = \mu RT̃ PTVP \propto \frac{T}{V}. If T and V both doubled then pressure remains same i.e. P2 = P1 = 1 atm = 1 ´ 105 N/m2.