Calculate the temperature, in K, of 2.20 moles of gas occupying 4.10 L at 2.82 atm.

64 k

Explanation:

To figure this out you need to start with the ideal gas equation:

P

⋅

V

=

n

⋅

R

⋅

T

You have P (3.30 atm), V (3.5 l), n (2.20 moles) and you can look up the gas constant, R (0.082057 (latm)/(molK)).

We simply rearrange the ideal gas equation to get T by itself:

T

=

P

⋅

V

n

⋅

R

Then simply plug in the values you were given, making sure that the units are in liters, atmospheres, and moles (which they are, in this case):

T

=

3.30

atm

⋅

3.5

l

2.20

moles

⋅

0.082057

(l*atm)/(mol*K)

=

63.9799

K

Since volume was only given to 2 significant figures, we can only report 2 significant figures for our

64 K.

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