Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

when a 105 gram solid is added to 43 ml of water, the water level rises…

Question

when a 105 gram solid is added to 43 ml of water, the water level rises to 88 ml. what is the density of the solid?
0.43 g/ml
2.3 g/ml
0.84 g/ml
1.2 g/ml

Explanation:

Step1: Find volume of solid

The volume of the solid is equal to the volume of water displaced. Volume of water displaced = final volume of water - initial volume of water. So, $V = 88\ mL - 43\ mL=45\ mL$.

Step2: Calculate density

The density formula is $
ho=\frac{m}{V}$, where $m = 105\ g$ and $V = 45\ mL$. Then $
ho=\frac{105\ g}{45\ mL}\approx2.3\ g/mL$.

Answer:

2.3 g/mL