What is the volume V of a sample of 4.00 mol of copper? The atomic mass of copper (Cu) is 63.5 g/mol, and the density of copper
1 answer:
28.5cm³
Explanation:
Given parameters:
Number of moles of copper = 4 mole
Atomic mass of Cu = 63.5g/mol
Density of copper = 8.92 x 10³kg/m³ = 8.92g/cm³
Unknown:
Volume of the sample of copper = ?
Solution:
From the given parameters, first find the mass of the copper using the product of the number of moles and molar mass. Then, use the density equation to find volume from the obtained mass.
Solving:
Mass of copper = Number of moles x molar mass of copper
= 4 x 63.5
= 254g
Density =
Volume = =
= 28.5cm³
Volume of the copper is 28.5cm³
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The question is incomplete. Here is the complete question.
Cars A nad B are racing each other along the same straight road in the following manner: Car A has a head start and is a distance beyond the starting line at t = 0. The starting line is at x = 0. Car A travels at a constant speed
. Car B starts at the starting line but has a better engine than Car A and thus Car B travels at a constant speed
, which is greater than
.
Part A: How long after Car B started the race will Car B catch up with Car A? Express the time in terms of given quantities.
Part B: How far from Car B's starting line will the cars be when Car B passes Car A? Express your answer in terms of known quantities.
Answer: Part A:
Part B:
Explanation: First, let's write an equation of motion for each car.
Both cars travels with constant speed. So, they are an uniform rectilinear motion and its position equation is of the form:
where
is initial position
v is velocity
t is time
Car A started the race at a distance. So at t = 0, initial position is .
The equation will be:
Car B started at the starting line. So, its equation is
Part A: When they meet, both car are at "the same position":
Car B meet with Car A after units of time.
Part B: With the meeting time, we can determine the position they will be:
Since Car B started at the starting line, the distance Car B will be when it passes Car A is units of distance.