Homework Due May 3, 2017
Boyle's
Law Worksheet
Boyle's gas law states the volume of a gas is inversely proportional to
the pressure of the gas when temperature is held constant. This example problem uses Boyle's law to find the
volume of a gas when pressure changes.
Boyle's Law Example Problem
A balloon with a volume of 2.0 L is filled with a gas at 3 atmospheres.
If the pressure is reduced to 0.5 atmospheres without a change in temperature,
what would be the volume of the balloon?
Solution:
Since the temperature does not change, Boyle's law can be used. Boyle's gas law can be expressed as:
PiVi = PfVf
Where
Since the temperature does not change, Boyle's law can be used. Boyle's gas law can be expressed as:
PiVi = PfVf
Where
Pi = initial pressure
Vi = initial volume
Pf = final pressure
Vf = final volume
Vi = initial volume
Pf = final pressure
Vf = final volume
To find the final volume, solve the equation for Vf:
Vf = PiVi/Pf
Vi = 2.0 L
Pi = 3 atm
Pf = 0.5 atm
Vf = (2.0 L)(3 atm)/(0.5 atm)
Vf = 6 L/0.5
Vf = 12 L
Pi = 3 atm
Pf = 0.5 atm
Vf = (2.0 L)(3 atm)/(0.5 atm)
Vf = 6 L/0.5
Vf = 12 L
SOLVE THE FOLLOWING PROBLEMS
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1.
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State
the pressure-volume law both in words and in the form of an equation.
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2.
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To
compress nitrogen at 1 atm from 750 mL to 500 mL, what must the new pressure
be if the temperature is kept constant?
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3.
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If
oxygen at 128 kPa is allowed to expand at constant temperature until its
pressure is 101.3 kPa, how much larger will the volume become?
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4.
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A sample
of nitrogen at 101.3 kPa with a volume of 100 mL is carefully compressed at
constant temperature in successive changes in pressure, equalling 5 kPa at a
time, until the final pressure is 133.3 kPa.
Calculate each new volume and prepare a plot of P
versus V, showing P on the horizontal axis.
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5.
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A sample
of nitrogen at 20oC was compressed from 300 mL to 0.360 mL and its
new pressure was found to be 400.0 Pa. What was the original pressure in kPa?
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6.
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The
pressure on 6.0 L of a gas is 200 kPa. What will be the volume if the
pressure is doubled, keeping the temperature constant?
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7.
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What
would be the new volume if the pressure on 600 mL is increased from 90 kPa to
150 kPa?
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8.
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A
student collects 25 mL of gas at 96 kPa. What volume would this gas occupy at
101.325 kPa. There is no change in temperature or mass.
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9.
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A gas
measuring 525 mL is collected at 104.66 kPa. What volume does this gas occupy
at 99.33 kPa?
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10.
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A mass
of gas occupies 1 L at 1 atm. At what pressure does this gas occupy
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a) 2
litres, b) 0.5
litres
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11.
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From the
data in the following table calculate the missing quantity (assuming constant
temperature).
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a)
V1 = 22.4 L; P1= 1
atm; P2 = ? atm; V2 =
2.8 L
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b) V1 = 60 mL; P1 =
? kPa; P2 = 101.3 kPa; V2 =
16 mL
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c) V1 = ? m3 ;
P1 = 40 Pa; P2 = 100 kPa; V2 =
1.0 L
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d)
V1 = 2.50 L; P1 = 7.5
atm; P2 = ? atm; V2 = 100
mL
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