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What is the volume occupied by 33.0 liters of gas at 4.0 atm after it has been compressed at constant temperature to 0.60 atm?

Answer 1

Naomi Aronson

#"220 L"#

Equation for an ideal gas

#"PV = nRT"#

At constant #"T"#

#"P" prop 1/"V"#

#"P"_1"V"_1 = "P"_2"V"_2#

#"V"_2 = ("P"_1"V"_1)/"P"_2 = (4.0 cancel"atm" × "33.0 L")/(0.60 cancel"atm") = "220 L"#

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Answer 2

Kai Bowman

To find the volume of the gas after it has been compressed from 4.0 atm to 0.60 atm while maintaining constant temperature, you can use Boyle's Law.

Boyle's Law states that the pressure and volume of a gas are inversely proportional at constant temperature. Mathematically, it can be expressed as:

P1 * V1 = P2 * V2

Where:
P1 = initial pressure (4.0 atm)
V1 = initial volume (33.0 liters)
P2 = final pressure (0.60 atm)
V2 = final volume (unknown)

Rearranging the equation to solve for V2:

V2 = (P1 * V1) / P2

Plugging in the given values:

V2 = (4.0 atm * 33.0 liters) / 0.60 atm
V2 ≈ 220 liters

So, the volume occupied by the gas after it has been compressed at constant temperature to 0.60 atm is approximately 220 liters.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.