Identify the mathematical relationship that exists between pressure and volume, when temperature and quantity are held constant,
1 answer:
Answer:
BOYLE'S Law
Explanation:
Boyle's law states that at constant temperature the volume of a fixed quantity of an ideal gas is inversely proportional to the pressure of the gas.
Mathematically:
From the universal gas law we have:
where:
P = pressure of the gas
V = volume of the gas
n = no. of moles of gas
T = temperature of the gas
R = universal gas constant
when the mass of gas is fixed i.e. n is constant and temperature is also constant.
here the suffix 1 and 2 denote two different conditions of the same gas.
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Answer:
The right answer is:
(a) 63.83 kg
(b) 0.725 m/s
Explanation:
The given query seems to be incomplete. Below is the attachment of the full question is attached.
The given values are:
T = 3 sec
k = 280 N/m
(a)
The mass of the string will be:
⇒
or,
⇒
On substituting the values, we get
⇒
⇒
⇒
(b)
The speed of the string will be:
⇒
then,
⇒
On substituting the values, we get
⇒
⇒
⇒
⇒
Answer:
K = 9.53 MeV
Explanation:
The kinetic energy that the alpha particle has emitted, is the energy in excess after removing the resting energy of the atoms and the helium nucleus that forms the alpha particle
Since energy and masses are related and cannot be
m₀ c² = c² + m_He c²+ K
K = c² (m₀ - m_{f} - m_He)
the mass of the Helium atom is 4 u
K = (3 10⁸)² (211,988868 -207.976652 - 4,002) 1,661 10⁻²⁷
K = 14,949 10⁻¹¹ (0.0102)
K = 1,527 10⁻¹² J
let's reduce 1 J = 6,242 10¹² MeV
K = 9.53 MeV