Question

What is the new volume of a 61 L sample at STP that is moved to 183 K and 0.60 atm?

Answer 1

Answer: The new volume of a 61 L sample at STP that is moved to 183 K and 0.60 atm is 54.63 L.

Step-by-step explanation:

Given:
`V_(1)` = 61 L,
`T_(1)` = 183 K,
`P_(1)` = 0.60 atm

At STP, the value of pressure is 1 atm and temperature is 273.15 K.

Now, formula used to calculate the new volume is as follows.

`(P_(1)V_(1))/(T_(1)) = (P_(2)V_(2))/(T_(2))`

Substitute the values into above formula as follows.

`(P_(1)V_(1))/(T_(1)) = (P_(2)V_(2))/(T_(2))\\(0.60 atm * 61 L)/(183 K) = (1 atm * V_(2))/(273.15 K)\\V_(2) = 54.63 L`

Thus, we can conclude that the new volume of a 61 L sample at STP that is moved to 183 K and 0.60 atm is 54.63 L.