Answer:
The sum of first 30 terms of the arithmetic progression is <u>2160.</u>
Explanation:
For an arithmetic progression, the sum of first
terms with first term as
and common difference
is given as:

Now, it is given that:

Now, plug in these values and frame two equations in 


Now, we solve equations (1) and (2) for
. Subtract equation (1) from equation (2). This gives,

Now, plug in the value of
in equation (1) and solve for
.

Plug in the values of
in the sum formula to find the sum of first 30 terms.
Now, the sum of first 30 terms is given as:

Therefore, the sum of first 30 terms of the arithmetic progression is 2160.
Answer:
Mass of hydrogen gas produced = 0.2 g
Explanation:
Given data:
Number of moles of Mg = 0.2 mol
Number of moles of HCl = 0.2 mol
Mass of hydrogen gas produced = ?
Solution:
Chemical equation:
Mg + 2HCl → MgCl₂ + H₂
Now we will compare the moles of of hydrogen with Mg and HCl.
Mg : H₂
1 : 1
0.2 : 0.2
HCl : H₂
2 : 1
0.2 : 1/2×0.2 = 0.1
HCl produced less number of moles of hydrogen gas it will act as limiting reactant.
Mass of hydrogen:
Mass = number of moles × molar mass
Mass = 0.1 mol × 2 g/mol
Mass = 0.2 g
Answer: The answer is B
Explanation: Looking at the table given, the more wire loops you put on the nail, the more paperclips that it can hold. Meaning the electromagnet gets stronger the more loops you put on the nail
Force = Mass * Acceleration = 59 kg * 9.75 m/s^2 = 575.25 N