Find the relative molecular mass of a gas, 0.546 g of which occupies 360 `cm^(3)` at 87°C and 380 mm Hg ptessure. [1 litre of hydrogen at S.T.P. weighs 0.09 g]

Explanation

To find the relative molecular mass of the gas, we will use the ideal gas law and the information provided in the question. Here is the step-by-step solution:

### Step 1: Convert the given values to appropriate units
- The volume of the gas is given as 360 cm³. We need to convert this to liters:
\[ V = 360 \, \text{cm}^3 = 0.360 \, \text{L} \]
- The temperature is given as 87°C. We need to convert this to Kelvin:
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