Question

The density of a gas 25°C and 12 bar is same as that of carbon monoxide gas at 30 bar. The molar mass of the
gas is
1) 28
2) 14
3) 57
4) 70​

Answer 1

Answer:

Option 1 is correct

28

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Answer 2

The molar mass of the gas is (4) 70.

Given: The density of a gas at 25°C and 12 bar is the same as that of carbon monoxide gas at 30 bar.

To Find: The molar mass of the gas.

Solution:

• We know that using the relationship of density of the substance at temperature T, we have;

        Density = Mp / RT                                                  ...(1)

Where, M = molar mass, p = pressure, R = gas constant, T = temperature.

Coming to numerical, we see that temperature is constant and density is the same in both cases.

So, let the molar mass of gas be 'M'.

We are given, a molar mass of Carbon monoxide gas ( Mco ) = 28 g

The pressure of Carbon monoxide gas (Pco) = 30 bar

The pressure of gas ( Pg ) to be found = 12 bar

So, we can say that;

    M × Pg = Mco × Pco

⇒  M × 12 = 28 × 30

⇒  M = 70

Hence, the molar mass of the gas is (4) 70.

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