To calculate for the pressure of the system, we need an equation that would relate the
number of moles (n), pressure (P), and temperature (T) with volume (V). There are a number of equations that would relate these values however most are very complex equations. For
simplification, we assume the gas is an ideal gas. So, we use PV = nRT.<span>
PV = nRT where R is the universal gas
constant
P = nRT / V</span>
<span>P = 3.40 mol ( 0.08205 L-atm / mol-K ) (251 + 273.15 K) / 1.75 L </span>
<span>P = 83.56 atm</span>
<span>
</span>
<span>Therefore, the pressure of the gas at the given conditions of volume and temperature would be 83.56.</span>
Answer:
- the age of the oldest stars
- patterns of background radiation
- how fast distant galaxies are moving away from us
Explanation:
According to the NASA, astronomers can estimate how old the universe is by comparing the age of the oldest stars and the rate of expansion of the universe. The rate of expansion of the universe is based on the Big Bang theory and it states that our universe is continuously expanding since it first developed. Astronomers measure Cosmic Microwave Background radiation resulting from the Big Bang.
The strain energy stored in a linear spring is
SE = (1/2)*k*x²
where
k = the spring constant
x = the extension (or compression) of the spring
Given:
k = 470 N/m
x = 17.0 cm = 0.17 m
Therefore
SE = 0.5*(470 N/m)*(0.17 m)² = 6.7915 J
Answer: 6.8 J (nearest tenth)
Answer:
The allowed current in the cable is 1.15 A.
Explanation:
Given that,
Distance = 1.00 m
Suppose the magnetic field is 
and if the experiment is to be accurate to 1.0 %
We need to calculate the current
Using formula of magnetic field
Put the value into the formula
If the experiment is to be accurate to 1.0%
Then,
We need to calculate the allowed current in the cable
Hence, The allowed current in the cable is 1.15 A.
Now we know by Ohm's law that
Ohm's law states that the current through a conductor between two points is directly proportional to the voltage across the two points.
Introducing the constant of proportionality, the resistance,the Ohm's law can be mathematically represented as
V=I x R
Where V is the voltage measured in volts
I is the current measured in amperes
R is the resistance measured in ohms
Given:
I = 2 A
V= 110 V
Applying Ohm's law and substituting the given values in the above formula we get
V=I x R
110 = 2 X R
R = 55 ohms
