C - rising and cooling, causing water vapor to condense
The relation between density, mass and volume is

1) to calculate = volume
given:
Density = 0.0915 g/ mL
mass = 17.7 grams
formula used:

Thus
Volume 
Answer: 193.44 mL
2) the mass of sample will be

Answer: 7 g
If you use rate laws then your answer will be more supported. Laws can not change, so if you use rate laws then the student will get a more accurate answer then if they don’t use rate laws.
Explanation:
dU=TdS-pdV (given)
To prove = 1)
(at constant U)
2)
(at constant V)
Solution: 1)
dU=TdS-PdV


Derivative of constant is zero.
Given that internal energy is ,U = constant

(hence proved)
Solution: 2)
dU=TdS-PdV
Differentiating with respect to dU, we get:

Derivative of constant is zero.
Given that volume is constant , V= constant

(hence proved)