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Calculate the minimum work that must be done to compress 1.0 gm of hydrogen at N.T.P. to half its initial volume. Given `R =8.314 J mol ^(-1) K ^(-1).`

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To calculate the minimum work that must be done to compress 1.0 gm of hydrogen at N.T.P. to half its initial volume, we can follow these steps: ### Step 1: Convert the mass of hydrogen to moles We know that the molar mass of hydrogen (H₂) is approximately 2 g/mol. Therefore, the number of moles (n) in 1.0 g of hydrogen can be calculated as: \[ n = \frac{\text{mass}}{\text{molar mass}} = \frac{1.0 \, \text{g}}{2 \, \text{g/mol}} = 0.5 \, \text{mol} \] ...
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