Answer to Question #329423 in Physical Chemistry for shen

Question

1.    The volume sample of gas is 750 mL at 60°C and 0.7 atm. At what temperature will the sample 1.75 L occupy under a pressure of 1.80 atm?

Answer 1

Ideal gas law: $p*V=n*R*T$

Where p is pressure, V is volume, n is the amount of gas, R is ideal gas constant and T is temperature

R and n remain constant, which means $\dfrac{p*V}{T}=constant$

Hence, $\dfrac{p_1*V_1}{T_1}=\dfrac{p_2*V_2}{T_2}$

$p_1 =0.7\ atm,\ p_2 =\ 1.80\ atm$

$V_1=750\ ml,\ V_2=1750\ ml$

$T_1 =60^oC=60+273.15=333.15K$

$\dfrac{0.7*750}{333.15}=\dfrac{1.80*1750}{T_2}$ ,

$T_2 = 1998.9K=1998.9-273.15=1725.75^oC$