Answer to Question #173207 in General Chemistry for Melany

Question

A 500.0 mL cylinder in a car engine was fully filled with gas at 755 mmHg. Starting cold, the piston was pushed to compress the gas to 68.8 mL. The engine did not start and the temperature remained the same, what is the pressure in the cylinder? Answer in 3 sig-dig number without unit mmHg

Answer 1

$\frac{P_1V_1}{T_1} = \frac{P_2V_2}{T_2}$

Temperature is constant

P₁V₁ = P₂V₂

755mmHg × 500 mL = P₂×68.8mL

P₂ = $\frac{755×500}{68.8}$ = 5551.47mmHg

P₂ = 555.147×10² mmHg