Use the ideal gas equation to answer the following questions: (a) If the initial

Question

Use the ideal gas equation to answer the following questions: (a) If the initial pressure is 2.00 atm and initial volume is 5.00 L, calculate the final pressure if the volume is increased to 8.00 L. (b) A tire is inflated to a total pressure of 2.18 atm (about 32.0 psi) at a temperature of 30.00 degree C (i) What is the tire pressure (in atm) if the temperature drops to - 12.00 degree C? (ii) Assuming that the tire pressure warning light comes on at pressures below 29.0 psi is the pressure at a temperature of - l2.00 degree C low enough to trigger the warning light? Gas constant R = 0.08206 L middot atm/mol middot K; 14.70 psi = 1 atm

Explanation / Answer

Q3.

a)

P1 = 2 atm

V1 = 5 L

Pfinal

V2 = 8

from idal gas law ratios

P1*V1 = P2*V2

2*5 = 8*P2

P2= 10/8 = 1.25 atm

b)

P = 2.18 atm, T = 30|C = 303 K

i)

find P when T = -12°C = 261 K

P1/T1 = P2/T2

P2 = T2/T1*P1 = 261/303 *2.18 = 1.88 atm

ii)

P = 29 psi --> 29/14.7 = 1.97 atm

P < Pwarning

so there will be a warning light

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