What is the temperature of 0.80 mol of a gas stored in a 275 mL cylinder at 175 kPa?

1 Answer
Jun 1, 2017

Answer:

#7.24# #"K"#

Explanation:

First, let's express pressure #P# in #"Pa"# and volume #V# in #"m"^(3)#:

#Rightarrow P = 175# #"kPa"#

#Rightarrow P = 1.75 times 10^(5)# #"Pa"#

#"and"#

#Rightarrow V = 275# #"ml"#

#Rightarrow V = 2.75 times 10^(- 4)# #"m"^(3)#

Then, let's solve the ideal gas law #P V = n R T# for temperature #T#:

#Rightarrow P V = n R T#

#Rightarrow T = frac(P V)(n R)#

Substituting the appropriate values into the equation:

#Rightarrow T = frac(1.75 times 10^(5) times 2.75 times 10^(- 4))(0.80 times 8.314)# #"K"#

#Rightarrow T = frac(48.125)(6.6512)# #"K"#

#therefore T approx 7.24# #"K"#

Therefore, the temperature is around #7.24# #"K"#.