Explanation

(a) $n = n_{1} + n_{2}$
$pV = p_{1}V_{1} + p_{2}V_{2}$
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$p_{1} = p_{0} + \frac{4T}{x},\ p_{2} = p_{0} + \frac{4T}{y},\ p = p_{0} + \frac{4T}{z}$
If the process takes place is vacuum then $p_{0} = 0$
$p_{1} = \frac{4T}{x},\ p_{2} = \frac{4T}{y},\ p = \frac{4T}{z}$
If process is isothermal
$\therefore\ \ \ \ \ p_{1}V_{1} + p_{2}V_{2} = pV$
$\therefore\ \ \ \ \ \ z = \sqrt{x^{2} + y^{2}}$