Question

A gas X at a pressure of 750mm of mercury and temperature 38 degree celsius has a volume of 2.57 litres.Find the volume of the gas X at s.t.p.


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Answer 1

Answer:

final answer is 2.28 litres

Answer 2

Given: A gas X at a pressure of 750mm of mercury and temperature 38 degrees celsius has a volume of 2.57 litres.

To find: We have to find the volume of the gas at S.T.P.

Solution:

According to ideal gas law, we know that-

PV=nRT

Where P is the pressure of the gas=750/760.

V is the volume of the gas=2.57

n is the number of molecules.

R is Rydberg constant=0.082.

T is the temperature of the gas=(273+38)K.

Putting the values in the above equation we get-

$\frac{750}{760} \times 2.57 = n \times 0.082 \times 311 \\ n = \frac{750 \times 2.57}{760 \times 0.082 \times 311} \\ n = 0.01$

The value of n is 0.01.

The volume of the gas at S.T.P=22.4×0.01

=2.24.

Thus, the volume of gas is 2.24l