To answer this question, we will use the following equation:
<span>ln(P2/P1) = (∆Hvap/R)*((1/T1) - (1/T2))
</span>
Now we examine the givens of the problem and transform to standard units if required:
<span>∆Hvap = 30.5 kJ/mol
</span>R is a constant = <span>8.314 x 10^-3 kJ K^-1 mol^-1
T1 </span><span>= 91 celcius = 91 + 273= 364 Kelvin
</span>T2 = 20 celcius = 20 + 273 = 293 k3lvin
P1 is the standard atmospheric pressure = 760 mmHg
P2 is the value to be calculated
Substitute with these values in the equation:
ln(P2/760) = (30.5 / 8.314 x 10^-3) x ((1 / 364) - (1 / 293))
ln(P2/760) = - 2.4662 (Take the exponential both sides to eliminate the ln)
P2 / 760 = e^(-2.4462) = 0.0866
P2 = 0.0866 x 760 = 65.816 mmHg
Answer: The new volume is 95.45 mL.
Explanation:
Given:
= 45.0 mL,
= 0.98 atm
= 2.1 atm,
= ?
According to Boyle's law, at constant temperature the pressure of a gas is inversely proportional to its volume.
Therefore, formula used to calculate the new volume is as follows.

Substitute the values into above formula as follows.

Thus, we can conclude that the new volume is 95.45 mL.
I think the answer is, Thermal? I hope u get it right