The term "volume" refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its si unit is in cubic cm. The volume at STP will be 165.3 [tex]\rm{{cm}^3}[/tex].
The term "volume" refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its si unit is in cubic cm.
According to the ideal gas equation at STP
[tex]PV_= nRT[/tex]
[tex]P_1 =[/tex]84.6 k pa
[tex]V_1[/tex]= 215 [tex]cm^3[/tex]
[tex]T_1= 273+23.5=296.5K[/tex]
At STP
[tex]P_2=[/tex]101.3 k pa
[tex]V_2[/tex]=?
[tex]T_2= 273[/tex] K
From ideal gas law on equating for 1 and STP conditions we get
[tex]\frac{P_1V_1}{T_1} =\frac{P_2V_2}{T_2}[/tex]
[tex]\frac{84.6\times215}{296.5} =\frac{101.3\times V_2}{273}[/tex]
[tex]\rm{V_2}= 165.3 cm^{3}[/tex]
Hence the volume at STP will be 165.3 [tex]\rm{{cm}^3}[/tex].
To know more about the ideal gas equation refer to the link;
https://brainly.com/question/4147359
