REFER TO THIS WORKED EXAMPLE AS YOU ATTEMPT TO SOLVE YOUR PROBLEM: Cross-multiply Example: as takes up a volume of 17 liters, has a pressure of 2.3 atm, and a temperature 299 K. If we raise the temperature to 350 K and lower the pressure to 1.5 atm, what is the new volume of the gas? 323 K P₁V₁ = P₂V₂ T₂ 1. Identify givens and the unknown. 2. Convert all temperatures to Kelvin. 3. Rearrange the equation if you'd like. 4. Substitute values into the equation. 5. Solve for the unknown. 6. Check your answer against theory. If we have 2.9 L of gas at a pressure of 5 atm and a temperature of 50 C, what will be the Celsius temperature of the gas if we decrease the volume of the gas to 2.4 L and decrease the pressure to 3 atm? 50 C+273 K 323 K pl*vixp2*v2 TI T2 P1 = 2.3 atm V1 = 17 L T1 # 299 K P2 = 1,5 atm V2 = ??? T2 = 350 K P1 350 P1 V1 71 Isolate the unknown - T2 "P1 V1 -14 12V2 TX PR T1*P2 2.3171 12 20.01 V2 - 31 1.5m 299 * We have a balloon containing 2 L of air at STP in a vacuum chamber What will the volume of the balloon be when we reduce the pressure by half and increase the temperature to 323 K? STP 0 C (temp) and 1 atm (pressure)

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Chapter1: Chemical Foundations
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REFER TO THIS WORKED EXAMPLE AS YOU ATTEMPT TO SOLVE YOUR PROBLEM:
A gas takes up a volume of 17 liters, has a pressure of
Cross-multiply
P1 = 2.3 atm
V1 = 17 L
T1 = 299 K
P2 = 1,5 atm
Example: 2.3 atm, and a temperature of 299 K.
1.
2.
3.
5.
6.
If we raise the temperature to 350 K and lower the
pressure to 1.5 atm, what is the new volume of the gas?
Identify givens and the unknown.
Convert all temperatures to Kelvin.
Rearrange the equation if you'd like.
Substitute values into the equation.
Solve for the unknown.
Check your answer against theory.
TI
323 K 2 m
If we have 2.9 L of gas at a pressure of 5 atm and a temperature of
50 C, what will be the Celsius temperature of the gas if we decrease
the volume of the gas to 2.4 L and decrease the pressure to 3 atm?
50 C+273 K=323 K
pl*vixp2*v2
T2
P₁V₁ = P₂V₂
T₁ T₂
T2 = 350 K
P1 V1
T1
P1 V1
T1
Isolate the unknown:
12
12*12
12
- 14 12 12
X
TX PZ
T2 *P1 * V1
(
T1 * P2
350X2.3 A 17 L - 12-20X50
1.5 Am 299
V2 = 31
We have a balloon containing 2 L of air at STP in a vacuum chamber
What will the volume of the balloon be when we reduce the pressure
by half and increase the temperature to 323 K?
STP 0 C (temp) and 1 atm (pressure)
Transcribed Image Text:REFER TO THIS WORKED EXAMPLE AS YOU ATTEMPT TO SOLVE YOUR PROBLEM: A gas takes up a volume of 17 liters, has a pressure of Cross-multiply P1 = 2.3 atm V1 = 17 L T1 = 299 K P2 = 1,5 atm Example: 2.3 atm, and a temperature of 299 K. 1. 2. 3. 5. 6. If we raise the temperature to 350 K and lower the pressure to 1.5 atm, what is the new volume of the gas? Identify givens and the unknown. Convert all temperatures to Kelvin. Rearrange the equation if you'd like. Substitute values into the equation. Solve for the unknown. Check your answer against theory. TI 323 K 2 m If we have 2.9 L of gas at a pressure of 5 atm and a temperature of 50 C, what will be the Celsius temperature of the gas if we decrease the volume of the gas to 2.4 L and decrease the pressure to 3 atm? 50 C+273 K=323 K pl*vixp2*v2 T2 P₁V₁ = P₂V₂ T₁ T₂ T2 = 350 K P1 V1 T1 P1 V1 T1 Isolate the unknown: 12 12*12 12 - 14 12 12 X TX PZ T2 *P1 * V1 ( T1 * P2 350X2.3 A 17 L - 12-20X50 1.5 Am 299 V2 = 31 We have a balloon containing 2 L of air at STP in a vacuum chamber What will the volume of the balloon be when we reduce the pressure by half and increase the temperature to 323 K? STP 0 C (temp) and 1 atm (pressure)
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