Question

one litre of a gas weighs 2g at 300k and 1atm pressure .if the pressure is made 0.75atm at which temperature will one litre of the same gas weighs

Answer 1

Answer : The temperature at pressure 0.75 atm is 225 K.

Solution : Given,

$P_1=1atm$

$V_1=1L$

$T_1=300K$

$P_=0.75atm$

$V_2=1L$

By using ideal gas law,

$PV=nRT$

where,

P = pressure of gas

V = volume of gas

n = number of moles

R = Gas constant

T = temperature of gas

According to the question, the mass and volume of gas are equal. So, gas depends on pressure and temperature. Now the formula become,

$\frac{P_1}{T_1}= \frac{P_2}{T_2}$

Now put all the given values in this formula, we get

$\frac{1atm}{300K}= \frac{0.75atm}{T_2}$

$T_2=225K$

Therefore, the temperature at pressure 0.75 atm is 225 K.