Answer :
Answer:
The mass in kilograms is 64.52
Explanation:
We know that density of a substance is an intensive property that can be calculated with following formula: [tex][tex]density= \frac{mass}{volume} [/tex][/tex]
Using the formula and using simple 3 rule, we can calculate the mass in the room.
First we calculate the volume of the room:
[tex][tex]Volume=lenght*height*with[/tex]\\[tex]Volume=11.5 feet * 18.5 feet *9.0 feet[/tex]\\[tex]Volume=1914.75 feet^{3} [/tex][/tex]
As density is given in grams/liters, we need to change unit measure feet3 to liters:
[tex][tex]1 ft^{3} ---------28.32L\\ 1914.75ft^{3} -----------------------54225.72 L[/tex][/tex]
Now we can use density formula isolating the mass, to get the value needed:
[tex][tex]mass=density*volume[/tex]\\[/tex]
Following step is to replace density and volume with the data that we have:
[tex][tex]mass=1.19g/L*54225.72L\\ mass=64528,60g[/tex][/tex]
We know that 1000 g is 1Kg, so to obtain the value in Kg we need to divide the result.
[tex][tex]mass=64.52Kg[/tex][/tex]