100.0 mL of gas is placed into a syringe, what is the new volume if....?
A)the pressure is doubled?
b)the pressure is tripled?
C)the pressure is one quarter the orginal pressure?
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Boyle's law states that:
P1V1=P2V2 P is pressure, V is volume. In other words, as pressure goes up, volume goes down.
For A., P1 (100ml) = 2 (P1)(V2) since we can say that P2 is twice P1. So we can divide each side by 2(P1) to get V2, or
1/2(100ml)=V2 or 50ml = V2. When the pressure is doubled, the volume is cut in half.
Now you work out B and C; the pressure is tripled, so the volume is 1/3 for B, and since the pressure is DOWN by a factor of 4 in c, the volume increases by a factor of 4 (4 times the initial pressure.)