Respuesta :

Answer:

[tex]89.17\text{ kPa}[/tex]

Explanation:

Here, we want to get the required pressure in kPa

We start by writing the ideal gas equation

We have that as:

[tex]PV\text{ = nRT}[/tex]

where P is the pressure we want to calculate

V is the volume which is 4.2 L

n is the number of moles which is 0.15

T is the temperature which we will convert to Kelvin by adding 273K:

We have that as 273 + 23 = 300K

R is the molar gas constant which is 0.0821 L.atm/mol.K

Substituting the values, we have it that:

[tex]P\text{ = }\frac{nRT}{V}\text{ = }\frac{0.15\text{ }\times0.0821\times300}{4.2}\text{ = 0.88 atm}[/tex]

Finally, we convert the pressure in atm to pressure in kPa

To do this, we multiply the atm value by 101.325

We have that as:

[tex]0.88\text{ }\times\text{ 101.325 = 89.17 kPa}[/tex]

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