Answer:
a)1.13×10³
b)1.6×10³
Explanation:
Given:
Boltzmann's constant (K)=1.38×10^-23 J/K
atmoic mass of helium = 4 AMU or 4×1.66×10^-27kg
a)The formula for RMS speed (Vrms) is given as

where
K= Boltzmann's constant
T= temperature
m=mass of the gas


b) RMS speed of helium when the temperature is doubled


Answer:
$ 3085713685.71
Explanation:
= Actual wavelength = 700 nm
= Changed wavelength = 500 nm
Let the wavelength of red color be 700 nm and green be 500 nm
Change in wavelength is

We have the relation

The speed of the vehicle is 85714285.7143 m/s

By how much was the car speeding

The number of 10 km/h in the above speed

Cost of the ticket

The cost of the ticket is $ 3085713685.71
Answer: 0.049 mol
Explanation:
1) Data:
n₁ = 0.250 mol
p₁ = 730 mmHg
p₂ = 1.15 atm
n₂ - n₁ = ?
2) Assumptions:
i) ideal gas equation: pV = nRT
ii) V and T constants.
3) Solution:
i) Since the temperature and the volume must be assumed constant, you can simplify the ideal gas equation into:
pV = nRT ⇒ p/n = RT/V ⇒ p/n = constant.
ii) Then p₁ / n₁ = p₂ / n₂
⇒ n₂ = p₂ n₁ / p₁
iii) n₂ = 1.15atm × 760 mmHg/atm × 0.250 mol / 730mmHg = 0.299 mol
iv) n₂ - n₁ = 0.299 mol - 0.250 mol = 0.049 mol
Answer:
40 cm
Explanation:
We are given that
Load=800 N
Effort=200 N
Load distance=10 cm
We have to find the effort distance.
We know that

Using the formula

Effort distance=
Effort distance=
Effort distance=40 cm
Hence, the effort distance will be 40 cm.
Answer:
4.2s
Explanation:
Given parameters:
Power = 2190W
Mass of box = 1.47 x 10⁴g
distance = 6.34 x 10⁴mm
Unknown:
Time = ?
Solution:
Power is the rate at which work is done;
Mathematically;
Power =
Time =
Work done = weight x height
convert mass to kg;
100g = 1kg;
1.47 x 10⁴g = 14.7kg
convert the height to m;
1000mm = 1m
6.34 x 10⁴mm gives 63.4m
Work done = 14.7 x 9.8 x 63.4 = 9133.4J
Time taken =
= 4.2s