Question

question 25
1 pts
given the equation for density is d = m/v, why does the density of gold remain the same even when you have twice as much mass?
because you have half the volume
because the volume is twice as great
it doesnt remain the same
because you have twice the mass and half the volume
question 26
1 pts
consider the following relationship between the pressure and volume of a fixed amount of gas at a constant temperature:
v = k(1/p) where k is a constant.
what happens to the volume when the pressure goes up?
theres not enough information
the volume stays the same
the volume goes up
the volume goes down

Explanation:

Question 25

Step1: Recall density formula

The density formula is $d=\frac{m}{V}$. If the mass $m$ becomes $2m$, for the density $d$ to remain the same, from $d=\frac{m}{V}$ and $d=\frac{2m}{V'}$, we can find $V'$. Cross - multiplying gives $dV = dV' / 2$, so $V' = 2V$. That is, when the mass doubles, the volume also doubles.

Question 26

Step1: Analyze the volume - pressure relationship

We have $V = k\frac{1}{P}$. When $P$ increases, since $k$ is a constant, $\frac{1}{P}$ decreases. And since $V$ is directly proportional to $\frac{1}{P}$, $V$ decreases.

Answer:

Question 25: because the volume is twice as great
Question 26: the volume goes down