Question #329423

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?


1
Expert's answer
2022-04-17T11:04:24-0400

Ideal gas law: pV=nRTp*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 pVT=constant\dfrac{p*V}{T}=constant

Hence, p1V1T1=p2V2T2\dfrac{p_1*V_1}{T_1}=\dfrac{p_2*V_2}{T_2}


p1=0.7 atm, p2= 1.80 atmp_1 =0.7\ atm,\ p_2 =\ 1.80\ atm

V1=750 ml, V2=1750 mlV_1=750\ ml,\ V_2=1750\ ml

T1=60oC=60+273.15=333.15KT_1 =60^oC=60+273.15=333.15K


0.7750333.15=1.801750T2\dfrac{0.7*750}{333.15}=\dfrac{1.80*1750}{T_2} ,


T2=1998.9K=1998.9273.15=1725.75oCT_2 = 1998.9K=1998.9-273.15=1725.75^oC




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