Question #ac840

2 Answers
Aug 17, 2017

"m" = 1.98 "kg"

Explanation:

Yes you can.

The formula for density is rho = frac("m")("V"); where rho is the density, "m" is the mass, and "V" is the volume.

Let's substitute the relevant values into the equation:

Rightarrow 0.793 "kg L"^(- 1) = frac("m")(2.5 " L")

Rightarrow 0.793 "kg L"^(- 1) times 2.5 "L" = frac("m")(2.5 " L") times 2.5 "L"

Rightarrow 1.9825 "kg" = "m"

therefore "m" = 1.98 "kg"

Therefore, the mass of solute is 1.98 "kg".

Aug 17, 2017

The mass of solute is "2.0 kg".

Refer to the explanation for the process.

Explanation:

Another way of expressing the density formula is:

D=M/V, where D is density, M is mass, and V is volume.

(It doesn't hurt to know that the Greek lowercase letter rho, rho, is a symbol for density. The Latin D is also acceptable.)

The question gives volume and density, and asks for the mass, which is unknown.

Solution

Rearrange the density formula to isolate M. Plug in the known values and solve.

M=DxxV

M="0.793 kg"/color(red)cancel(color(black)("L"))xx2.5color(red)cancel(color(black)("L"))="2.0 kg" (rounded to two significant figures due to 2.5 L)