four hundred cubic centimeters of a gas at 740mm Hg absolute and 18 degree celcius a process until the pressure until the pressure becomes 760mm Hg absolute and the temperature o degree celcius. what is the final volume of the gas
You need to read and correct your post. It makes no sense as it stands.
To find the final volume of the gas, we can use the combined gas law equation:
(P1 * V1) / (T1) = (P2 * V2) / (T2)
Where:
P1 = initial pressure = 740 mm Hg
V1 = initial volume = 400 cubic centimeters
T1 = initial temperature = 18 degrees Celsius
P2 = final pressure = 760 mm Hg
T2 = final temperature = 0 degrees Celsius
Now let's plug in the values into the equation and solve for V2:
(740 mm Hg * 400 cubic centimeters) / (18 + 273) Kelvin = (760 mm Hg * V2) / (0 + 273) Kelvin
Simplifying the equation, we get:
(296,000 mm Hg * Kelvin) / 291 Kelvin = (760 mm Hg * V2) / 273 Kelvin
Cross multiplying, we have:
(296,000 mm Hg * 273 Kelvin) = (760 mm Hg * 291 Kelvin * V2)
Dividing both sides by (760 mm Hg * 291 Kelvin):
(296,000 mm Hg * 273 Kelvin) / (760 mm Hg * 291 Kelvin) = V2
Canceling out the units, we get:
V2 = (296,000 * 273) / (760 * 291) cubic centimeters
Calculating this expression, we find:
V2 ≈ 109.6 cubic centimeters
Therefore, the final volume of the gas will be approximately 109.6 cubic centimeters.
To find the final volume of the gas, we can use the combined gas law. The combined gas law equation is:
(P1 * V1) / (T1) = (P2 * V2) / (T2)
In this equation:
- P1 and P2 are the initial and final pressures of the gas, respectively.
- V1 and V2 are the initial and final volumes of the gas, respectively.
- T1 and T2 are the initial and final temperatures of the gas, respectively.
We are given:
- P1 = 740 mm Hg
- P2 = 760 mm Hg
- T1 = 18 degrees Celsius
- T2 = 0 degrees Celsius (converted from 0 degree Celcius)
Now we can substitute these values into the equation and solve for V2:
(740 * V1) / (18 + 273) = (760 * V2) / (0 + 273)
Simplifying the equation:
740 * V1 / 291 = 760 * V2 / 273
Cross-multiplying:
740 * V1 * 273 = 760 * V2 * 291
Dividing both sides by 760 * 291:
V2 = (740 * V1 * 273) / (760 * 291)
Now, you need to specify the initial volume, V1, or any other known values, in order to calculate the final volume, V2.