T1P1V1=T2P2V2Commonly known as the Combined Gas Law, the given equation relates the pressure, P, volume, V, and temperature, T, of an ideal gas between its initial (1) and final (2) states. Which of the following shows the final volume in terms of the initial and final pressure, the initial and final temperatures, and the initial volume?Choose 1 answer:(A) V1=V2(B) V2=(T1/P2)P1T2V1(C) V2=P2T1P1T2V1(D) V2=T1P1V1−P2T2tions | Lesson
Q. T1P1V1=T2P2V2Commonly known as the Combined Gas Law, the given equation relates the pressure, P, volume, V, and temperature, T, of an ideal gas between its initial (1) and final (2) states. Which of the following shows the final volume in terms of the initial and final pressure, the initial and final temperatures, and the initial volume?Choose 1 answer:(A) V1=V2(B) V2=(T1/P2)P1T2V1(C) V2=P2T1P1T2V1(D) V2=T1P1V1−P2T2tions | Lesson
Multiply by : The Combined Gas Law is given by the equation . We need to solve for , the final volume.
Multiply by T1: First, we multiply both sides of the equation by T2 to get rid of the denominator on the right side of the equation. This gives us (T1P1V1)⋅T2=P2V2.
Divide by P2: Next, we multiply both sides of the equation by T1 to get rid of the denominator on the left side of the equation. This gives us P1V1×T2=P2V2×T1.
Divide by T1: Now, we divide both sides of the equation by P2 to isolate V2 on one side of the equation. This gives us P2P1V1T2=V2T1.
Final Volume Calculation: Finally, we divide both sides of the equation by T1 to solve for V2. This gives us V2=P2⋅T1P1V1⋅T2.
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