# Question #36ab0

##### 2 Answers

I got

#### Explanation:

I see what you did, you forgot to convert from

You set up your equation correctly, but remember that when using the ideal-gas equation, your units must be the same as those in the units for

Let's convert from

Since the temperature conversion was done correctly, I won't perform it here ( to Kelvin). The correct form is

Your error is probably in unit conversion.

#### Explanation:

The value of the ideal gas constant is

Therefore, to use the value 0.0821 in this problem, you must convert pressure to atmospheres, volume to liters, quantity to moles, and temperature to Kelvins.

Volume is in the correct units, and we are solving for moles so we don't need to "convert". So, we need to change pressure to

#160 color(white)".""kPa" * (0.00987 color(white)".""atm")/"kPa" = 1.58 color(white)"." "atm"#

#250^@"C"+273 = 523 color(white)"." K#

Now we can solve the problem using the correct units:

#PV = nRT#

#(1.58color(white)".""atm")(42.6 color(white)"." L) = n(0.0821(L*"atm")/("mol"*K))(523color(white)"."K)#

#n = (1.58*42.6)/(0.0821*523) color(white)".""mol"#

#n = 1.57 color(white)"." "mol"#

*Final Answer*