Question #52ade

1 Answer
Nov 26, 2015

Answer:

The final volume of nitrogen gas will be #"528 mL"#.

Explanation:

Use the combined gas law with the equation #(P_1V_1)/(T_1)=(P_2V_2)/(T_2)#.

Given/Known
#P_1="740 torr"#
#V_1="500. mL"#
#T_1="25"^"o""C"+273.15="298 K"#
#P_2="760 torr"#
#T_2="50"^"o""C"+273.15="323 K"#

Unknown
#V_2#

Equation
#(P_1V_1)/(T_1)=(P_2V_2)/(T_2)#

Solution
Rearrange the equation to isolate #V_2# and solve.

#V_2=(P_1V_1T_2)/(T_1P_2)#

#V_2=(740cancel"torr"xx500. "mL"xx323cancel"K")/(298cancel"K"xx760cancel"torr")="528 mL N"_2"#