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Answer :
Answer : The new pressure of sample in atm is, 0.923
Explanation :
Combined gas law is the combination of Boyle's law, Charles's law and Gay-Lussac's law.
The combined gas equation is,
[tex]\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}[/tex]
where,
[tex]P_1[/tex] = initial pressure of gas = 1.37 atm
[tex]P_2[/tex] = final pressure of gas = ?
[tex]V_1[/tex] = initial volume of gas = 41.8 mL
[tex]V_2[/tex] = final volume of gas = 66.9 mL
[tex]T_1[/tex] = initial temperature of gas = [tex]21.5^oC=273+21.5=294.5K[/tex]
[tex]T_2[/tex] = final temperature of gas = [tex]44.6^oC=273+44.6=317.6K[/tex]
Now put all the given values in the above equation, we get:
[tex]\frac{1.37atm\times 41.8mL}{294.5K}=\frac{P_2\times 66.9mL}{317.6K}[/tex]
[tex]P_2=0.923atm[/tex]
Therefore, the new pressure of sample in atm is, 0.923
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