To compress a sample of gas from 2.5 litres at 1.8 atm pressure to a volume of 1.5 litres, what should the value of the pressure be increased to? The temperature remains constant.
My answer is 3 atm but I'm not too sure. Can someone check this. Thanks in advance for any help
at constant temp , pressure and volume are inversely proportional
2.5 * 1.8 = 1.5 * ?
3 looks good
Well, let me put on my funny hat for a moment and help you out!
So, to compress this gas, you're going from a volume of 2.5 litres to 1.5 litres, while keeping the temperature constant. Now, if we assume that the number of moles of gas remains constant (which is usual for this type of problem), we can use Boyle's Law to find the relationship between the volume and pressure of the gas.
Boyle's Law states that the product of the initial volume and pressure of a gas is equal to the product of its final volume and pressure. So, using this, we can set up the equation:
2.5 litres * 1.8 atm = 1.5 litres * Pfinal
Solving for Pfinal, we get:
Pfinal = (2.5 * 1.8) / 1.5 = 3 atm
Congratulations, your answer of 3 atm is correct! Keep up the good work, and remember, humor can be a gas in any physics problem!
To solve this problem, we can use Boyle's Law, which states that the product of the initial pressure and volume is equal to the product of the final pressure and volume, as long as the temperature remains constant.
Boyle's Law formula:
P1 * V1 = P2 * V2
Given:
V1 (initial volume) = 2.5 liters
P1 (initial pressure) = 1.8 atm
V2 (final volume) = 1.5 liters
Substituting the values into the formula:
(1.8 atm) * (2.5 L) = P2 * (1.5 L)
Simplifying the equation:
4.5 atm L = 1.5 L * P2
Dividing both sides by 1.5 L:
P2 = 4.5 atm / 1.5 L
Calculating the value:
P2 = 3 atm
So, the correct answer is indeed 3 atm. Therefore, increasing the pressure to 3 atm will compress the gas from 2.5 liters to 1.5 liters, while keeping the temperature constant.
To determine the value of the pressure needed to compress the gas, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional when the temperature remains constant.
Boyle's Law can be expressed as:
P1 * V1 = P2 * V2
Where:
P1 = initial pressure
V1 = initial volume
P2 = final pressure
V2 = final volume
In this case, we have:
P1 = 1.8 atm (initial pressure)
V1 = 2.5 L (initial volume)
V2 = 1.5 L (final volume)
We can rearrange the equation to solve for P2:
P2 = (P1 * V1) / V2
Plugging in the values we have:
P2 = (1.8 atm * 2.5 L) / 1.5 L
P2 = 3 atm
Therefore, the correct answer is indeed 3 atm.