Asyncio does not run all tasks concurrently in Python. trying to export csv files in batches

I am trying to read a big file and export batches of CSV files using Asyncio. I know Asyncio does not support async IO for the same file, so I am trying to export to individual files per task giving the batch number. But it only runs synchronously..

I have main.py and it has a function def start()

def start():
    asyncio.get_event_loop().run_until_complete(processing.test_async(dictRunData))

I have processing.py and has a function test_async()

async def test_async(dictRunData):
  num_logical_cpus = multiprocessing.cpu_count()
  with open(dictRunData['input_file'], 'r') as infile:
    content = infile.read().replace('\n', '')
    lstcontent = ast.literal_eval(content)

  tasks = []
  chunkNum = 0
  chunk_contents = numpy.array_split(numpy.array(lstcontent), num_logical_cpus)
  print(f"number of chunks: {len(chunk_contents)}")
  for chunk in chunk_contents:
    chunkNum += 1
    task = asyncio.create_task(process_chunk_async(chunk, chunkNum))
    tasks.append(task)

  result = await asyncio.gather(*tasks, return_exceptions=True)

Here is the function process the given chunk.

async def process_chunk_async(chunk, chunkNum, dictRunData):
    dict_results = {}
    for data in chunk:
       ..do something..
       dict_results.append(data)

    outputfile = await write_chunk_async(dict_results, chunkNum, dictRunData)

Here is the write_chunk_async

async def write_chunk_async(dict_results, chunkNum, dictRunData):
    fileName = f"_{chunkNum}.csv"
    wrtieFileTo = open(fileName,"a+")

    for data in dict_results.keys():
        wrtieFileTo.write(data + "\n")

    wrtieFileTo.close()

    print(f"Done write_chunk_async file: {fileName}")