Problem 1.
Methane has chemical formula "C{H_4}" and molar mass "{M_{C{H_4}}} \\approx 16.043[{{\\rm{g}} \\over {{\\rm{mol}}}}]" . To solve the problem we can use ideal gas law
"pV = \\nu RT"where "R \\approx 8.314[{{\\rm{J}} \\over {{\\rm{K}} \\cdot {\\rm{mol}}}}]" - universal gas constant and "\\nu = {m \\over {{M_{C{H_4}}}}}" - the amount of moles of methane.
Thus, the volume
Let's do the calculations, using that "1[{\\rm{mmHg}}] \\approx 133.322[{\\rm{Pa}}]"
Problem 2.
Krypton "Kr" has a molar mass "{M_{Kr}} \\approx 83.798[{{\\rm{g}} \\over {{\\rm{mol}}}}]". Using the same ideal gas law we get for the temperature
Let's do the calculations, using that "1[{\\rm{atm}}] = 101325[{\\rm{Pa}}]"
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