A fixed quantity of gas fills a volume of 10.6 liters at 638 torr and 83 C. Find the volume it will occupy if the pressure is 1076 torr and the temperature rises to 96 C

According to this formula:

(P1V1) / T1 = (P2V2) / T2

convert T from C° to Kelvin:

T1 = 83 + 273 = 356 K

T2 = 96 + 273 = 369 K

convert P from torr to atm:

1 torr = 0.00131578947 atm

p1 = 0.839474 atm

P2 = 1.415789 atm

By substitution in the previous formula:

(0.839474 x 10.6) / (356) = (1.415789 x V2) / 369

So:

V2 = 6.5 L