Answer:
1.29 moles
0.753 moles
0.745 moles
Explanation:
PV=nRT
n=PV/RT
n=(1)(34.2)/(0.0821)(323.7)
n=1.29
n=PV/RT
n=(1)(22.4)=(0.0821)(362.15)
n=0.753
n=PV/RT
n=(1)(16.7)/(0.0821)(273.15)
n=0.745
In the ideal gas equation, T is measured in Kelvin.
Answer:
f = 614.28 Hz
Explanation:
Given that, the length of the air column in the test tube is 14.0 cm. It can be assumed that the speed of sound in air is 344 m/s. The test tube is a kind of tube which has a closed end. The frequency in of standing wave in a closed end tube is given by :


f = 614.28 Hz
So, the frequency of the this standing wave is 614.28 Hz. Hence, this is the required solution.
Answer:
This material exhibits paramagnetism.
Explanation:
A paramagnetic material has these features: It doesn’t have any magnetic properties when placed in an external magnetic field, it gains and then loses the magnetic property as the external field is removed.
Such materials have magnetic moments oriented in random directions, thus making the net magnetic moment, zero. But when placed in an external field, they do possess a net magnetic moment. When the magnetic field is removed, they lose the magnetic property.
Thus, the material which produces no initial magnetic field when placed in a uniform magnetic field produces an additional internal magnetic field parallel to the original field. Also, it loses the magnetic properties as soon as the external magnetic field is removed. Then, the magnetism the material exhibits is paramagnetic.
consider east-west direction along x-axis and north-south direction along y-axis
from the diagram
A = Ax i + By j = - (0.40 Sin60) i + (0.40 Cos60) j = - 0.35 i + 0.20 j
B = Bx i + By j = - 0.50 i + 0 j
Net displacement is given as
D = A + B
D = (- 0.35 i + 0.20 j ) + (- 0.50 i + 0 j )
D = - 0.85 i + 0.2 j
magnitude of displacement is given as
|D| = sqrt((- 0.85)² + (0.2)²)
|D| = 0.87 km
direction of displacement is given as
θ = tan⁻¹(0.2/0.85)
θ = 13.5 deg north of west
Ep=mgh
h= Ep/mg
h=57÷(3.3×9.8)
h= 57÷32.34
h= 1.8m
So; the answer is B. 1.8m