Question #943f6

1 Answer
Mar 16, 2016

Answer:

The pressure at maximum compression is 9.72 atm.

Explanation:

This is an example of a Combined Gas Laws problem.

#color(blue)(|bar(ul((P_1V_1)/T_1=(P_2V_2)/T_2)|)#

Your data are:

#P_1 = "1.00 atm"#; #V_1 = "400.0 cm"^3#; #T_1 = "(15 + 273.15) K" ="288.15 K"#

#P_2 = "?"#;#color(white)(mmmm) V_2 = "50.0 cm"^3#; #color(white)(ll)T_2 = "(77 + 273.15) K" = "350.15 K"#

Now. we insert these values into the Combined Gas Law.

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

#P_2 = P_1 × V_1/V_2 × T_2/T_1 = "1.00 atm" × (400 cancel("cm"^3))/(50.0 cancel("cm"^3)) × (350.15 cancel("K"))/(288.15 cancel("K")) = "9.72 atm"#

The maximum pressure is 9.72 atm.