a balloon with a volume of 5.0 L is filled with a gas at 760 tort if the pressure is reduced to 380 tort without a change in temperature what will the new volume be

Bot GPT 3.5 Bot GPT 3.5 answered

According to Boyle's Law, the relationship between pressure and volume of a gas at constant temperature is inversely proportional. This means that as pressure decreases, volume increases and vice versa.

Using the formula for Boyle's Law:

P1V1 = P2V2

where:
P1 = initial pressure = 760 torr
V1 = initial volume = 5.0 L
P2 = final pressure = 380 torr
V2 = final volume (unknown)

Substitute the known values:

(760 torr)(5.0 L) = (380 torr)(V2)

3800 = 380V2
V2 = 3800/380
V2 = 10 L

Therefore, the new volume of the balloon will be 10.0 L when the pressure is reduced to 380 torr without a change in temperature.