Answer:
a) 3.39 × 10²³ atoms
b) 6.04 × 10⁻²¹ J
c) 1349.35 m/s
Explanation:
Given:
Diameter of the balloon, d = 29.6 cm = 0.296 m
Temperature, T = 19.0° C = 19 + 273 = 292 K
Pressure, P = 1.00 atm = 1.013 × 10⁵ Pa
Volume of the balloon = 
or
Volume of the balloon = 
or
Volume of the balloon, V = 0.0135 m³
Now,
From the relation,
PV = nRT
where,
n is the number of moles
R is the ideal gas constant = 8.314 kg⋅m²/s²⋅K⋅mol
on substituting the respective values, we get
1.013 × 10⁵ × 0.0135 = n × 8.314 × 292
or
n = 0.563
1 mol = 6.022 × 10²³ atoms
Thus,
0.563 moles will have = 0.563 × 6.022 × 10²³ atoms = 3.39 × 10²³ atoms
b) Average kinetic energy = 
where,
Boltzmann constant, 
Average kinetic energy = 
or
Average kinetic energy = 6.04 × 10⁻²¹ J
c) rms speed = 
where, m is the molar mass of the Helium = 0.004 Kg
or
rms speed = 
or
rms speed = 1349.35 m/s
Intense temperature and pressure of regional metamorphism
Explanation:
The process that cause the formation of the Vishnu Schist is the intense temperature and pressure as a result of regional metamorphism.
- Regional metamorphism is an extensive metamorphism of an area as a result of temperature and pressure changes.
- The schist is a foliated metamorphic rock usually found in areas of moderate to high grade temperature and pressure.
- The Vishnu schist must have been metamorphosed before the new sediments were deposited on top.
Learn more:
Contact metamorphism brainly.com/question/1970623
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Answer:
Explanation:
Force Mass * acceleration
F = ma
a = F/m
Sum of force = 16.3N - 15.8N = 0.5N
Mass = 0.62kg
Substitute
a = 0.5/ * 0.62
a = 0.81m/s²
The acceleration of the toy is 0.81m/s²
F = net force acting on the elevator in upward direction = 3000 N
m = mass of the elevator = 1200 kg
a = acceleration of the elevator = ?
Acceleration of the elevator is given as
a = F/m
a = 3000/1200
a = 2.5 m/s²
v₀ = initial velocity of the elevator = 0 m/s
Y = displacement of the elevator = 15 m
t = time taken
Using the kinematics equation
Y = v₀ t + (0.5) a t²
15 = (0) t + (0.5) (2.5) t²
t = 3.5 sec
